"Eureka" was a TV series by the Sci-Fi Channel that ran from 2006 to 2012. The show's primary conceit had U.S. Marshal Jack Carter (Colin Ferguson) hired to work as the Sheriff of the town of Eureka - which is populated by geniuses who mostly work for a huge contractor to the U.S. Department of Defense. The first episode includes a "tachyon accelerator" which starts ripping apart the fabric of time in the town. The problems are never small or realistic: full human clones, large scale behaviour modification, super-fast healing, an entirely human-looking AI, etc. And yet the problem is often solved by Sheriff Carter's understanding of people or intuition, even though he's not a genius.
Other major characters are Allison Blake (Salli Richardson-Whitfield) as a law officer with the D.O.D. who's also a romantic interest for Carter, Henry Deacon (Joe Morton) - the town mechanic who is a genius at pretty much everything, Zoe Carter (Jordan Hinson) - Sheriff Carter's delinquent daughter, Nathan Stark (Ed Quinn) as the manager of the government contractor, Jo Lupo (Erica Cerra) as the deputy sheriff, and Douglas Fargo (Neil Grayston) as the semi-comedic assistant to Nathan Stark. And let's not forget S.A.R.A.H., the house the Carter's are given by Fargo: it's an AI and also a character in the show.
It's a very silly but funny and enjoyable show.